MATHEMATICS
STAGE 2
TEACHING AND LEARNING OVERVIEW
TERM:
WEEK: 8
OUTCOMES: MA2- 14MG
STRAND:
SUB-STRAND:
WORKING MATHEMATICALLY:
Measurement and Geometry
3D Space 2
MA2-1WM ,&MA2-3WM
Makes, compares, sketches and names three dimensional objects , including prisms, pyramids, cylinders, cones and spheres
and describes their features
CONTENT:
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Investigate and represent three dimensional objects using drawings
Draw different views of an object constructed from connecting cubes on isometric dot paper.
Interpret given isometric drawings to make models of three dimensional shapes.
ASSESSMENT FOR
LEARNING
(PRE-ASSESSMENT)
Using centicubes, make different shapes using four cubes. See how many ways the cubes can be joined.
WARM UP / DRILL
Make models using two, then, three, four and five cubes. Set a time limit.
TENS ACTIVITY
NEWMAN’S PROBLEM
INVESTIGATION
A stack of blocks was made, glued together and then painted on the outside. Eight of the blocks were painted on exactly two
sides. What might the stack look Iike?
The shape does not have to be regular. The children may have to discuss what 'exactly two
sides means.
INTELLECTUAL QUALITY
QUALITY LEARNING ENVIRONMENT
SIGNIFICANCE
QUALITY TEACHING
ELEMENTS
RESOURCES
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Deep knowledge
Deep understanding
Problematic knowledge
Higher-order thinking
Metalanguage
Substantive communication
Centicubes
Isometric dot paper
3D puzzles
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Explicit quality criteria
Engagement
High expectations
Social support
Students’ self-regulation
Student direction
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Background knowledge
Cultural knowledge
Knowledge integration
Inclusivity
Connectedness
Narrative
TEACHING AND LEARNING EXPERIENCES
WHOLE CLASS INSTRUCTION
MODELLED ACTIVITIES
 Using website interactive
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maths.wikispaces.com
demonstrate how to draw 3D
shapes on isometric dot paper
on the interactive whiteboard.
Allow students to come out to
the front and have a go.
Explain how depth can be
added for the 3D effect.
GUIDED & INDEPENDENT ACTIVITIES
LEARNING
SEQUENCE
 Follow step by step instructions on how to construct a prism.
 Make prisms out of centicubes.
Remediation
S1 or Early S2
LEARNING
SEQUENCE
S2
LEARNING
SEQUENCE
 Describe its properties
 The teacher will provide pictures of models on isometric dot paper and the students will
construct them out of centicubes.
 When confident, make models using two to five cubes and draw them using the isometric
dot paper.
 Investigation: Using foam puzzles such as Dime Build Up Blocks, investigate the way a 3D
model can be formed by combining other 3D models.
 Assessment: Make different arrangements of four cubes. Sketch the models.
 Solve various 3D puzzles. There are commercially produced 3D puzzles that can be used.
 Alternatively, make more complex models using centicubes and sketch them from various
viewpoints eg. Top view, side view etc.
Extension
Late S2 or Early S3
EVALUATION &
REFLECTION
Student engagement:
Resources:
Achievement of Outcomes:
Follow up: